Least Common Multiple of 96/720, 774/316, 256/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/720, 774/316, 256/162 quickly i.e. 49536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/720, 774/316, 256/162 is 49536.

LCM(96/720, 774/316, 256/162) = 49536

LCM of 96/720, 774/316, 256/162

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 96/720,774/316,256/162

Given numbers are 96/720,774/316,256/162

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 96,774,256

Least Common Multiple of Numerators i.e. LCM of 96,774,256 is 99072.

GCF of Denominators means GCF of 720,316,162 as per the given fractions.

GCF of 720,316,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,774,256

LCM of Fractions 96/720,774/316,256/162 is 49536

2 96, 774, 256
2 48, 387, 128
2 24, 387, 64
2 12, 387, 32
2 6, 387, 16
3 3, 387, 8
1, 129, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 129 x 8 = 99072

Least Common Multiple of 96,774,256 with GCF Formula

Least Common Multiple of 96,774,256 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 96,774,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,774,256) = 2

common factors(in case of two or more numbers have common factors) = 96

GCF(96,774,256) x common factors =2 x 96 = 192

LCM(96,774,256) = ( 96 × 774 × 256 ) / 192

LCM(96,774,256) = 19021824 / 192

LCM(96,774,256) = 99072


Lets's calculate GCF of 720,316,162

2 720, 316, 162
360, 158, 81

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99072/2

Therefore the LCM of Fractions 96/720,774/316,256/162 is 49536

Greatest Common Factor of 720,316,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,316,162 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 720,316,162 . The biggest common factor number is the GCF number.
So the greatest common factor 720,316,162 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 96/720, 774/316, 256/162

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 96/720, 774/316, 256/162?

Answer: LCM of Numerators as per given numbers 96/720, 774/316, 256/162 is

LCM of Numerators i.e. for 96,774,256 is 99072

GCF of denominators i.e. for 720,316,162 is 2.

Thus, LCM of Fractions is 49536.Finally, LCM of Fractions for 96/720, 774/316, 256/162 is 49536.